Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence. (Examples 1 and 2)

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

Take n as 2

Where

The relationship is: The sum of the previous term and 9

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

Hence, the next three terms are: 36, 45 and 54

10 b/c 5*2 =10

step-by-step explanation: